{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Distortion"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from optiland.analysis import Distortion\n",
    "from optiland.samples.objectives import PetzvalLens"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "lens = PetzvalLens()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lens.draw()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "tags": [
     "nbsphinx-thumbnail"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x550 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
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    "distortion = Distortion(lens)\n",
    "distortion.view()"
   ]
  }
 ],
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